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Ukrainian Mathematical Journal

, Volume 50, Issue 4, pp 586–592 | Cite as

Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay

  • D. G. Korenevskii
  • K. Kaizer
Article

Abstract

We establish sufficient algebraic coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay in the case of a rational correlation between delays. We use (n 2 + m)-parameter Lyapunov functions (n is the dimension of the system of equations and m is the number of delays).

Keywords

Quadratic Form Difference Equation Lyapunov Function Asymptotic Stability Lyapunov Equation 
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References

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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • D. G. Korenevskii
    • 1
  • K. Kaizer
    • 2
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev
  2. 2.Cologne UniversityCologneGermany

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